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Finding the Fourth Proportional to 445.88, 615.12 and 280.16

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Solution

The fourth proportional to 445.88, 615.12 and 280.16 is: 386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.88 : 615.12 = 280.16 : x
  2. Step 2: Convert to fraction form
    445.88/615.12 = 280.16/x
  3. Step 3: Cross multiply
    445.88x = 615.12 × 280.16
  4. Step 4: Simplify right side
    445.88x = 172,332.02
  5. Step 5: Solve for x
    x = 172,332.02/445.88
  6. Step 6: Final answer
    x = 386.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.